Search a number
-
+
74918060 = 2257367163
BaseRepresentation
bin1000111011100…
…10100010101100
312012222020020222
410131302202230
5123134334220
611233430512
71566536000
oct435624254
9165866228
1074918060
1139320058
122110b438
13126a1219
149d42700
15689ce25
hex47728ac

74918060 has 96 divisors (see below), whose sum is σ = 187353600. Its totient is φ = 25147584.

The previous prime is 74918017. The next prime is 74918069. The reversal of 74918060 is 6081947.

It is a super-2 number, since 2×749180602 = 11225431428327200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 74918060.

It is not an unprimeable number, because it can be changed into a prime (74918069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459539 + ... + 459701.

It is an arithmetic number, because the mean of its divisors is an integer number (1951600).

Almost surely, 274918060 is an apocalyptic number.

74918060 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74918060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93676800).

74918060 is an abundant number, since it is smaller than the sum of its proper divisors (112435540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74918060 is a wasteful number, since it uses less digits than its factorization.

74918060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 74918060 is about 8655.5219368909. The cubic root of 74918060 is about 421.5626969697.

It can be divided in two parts, 7491 and 8060, that added together give a palindrome (15551).

The spelling of 74918060 in words is "seventy-four million, nine hundred eighteen thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 67 70 98 134 140 163 196 245 268 326 335 343 469 490 652 670 686 815 938 980 1141 1340 1372 1630 1715 1876 2282 2345 3260 3283 3430 4564 4690 5705 6566 6860 7987 9380 10921 11410 13132 15974 16415 21842 22820 22981 31948 32830 39935 43684 45962 54605 55909 65660 76447 79870 91924 109210 111818 114905 152894 159740 218420 223636 229810 279545 305788 382235 459620 535129 559090 764470 1070258 1118180 1528940 2140516 2675645 3745903 5351290 7491806 10702580 14983612 18729515 37459030 74918060